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Simplifying -1(5a + -4) = 6 + 6(-4 + a) Reorder the terms: -1(-4 + 5a) = 6 + 6(-4 + a) (-4 * -1 + 5a * -1) = 6 + 6(-4 + a) (4 + -5a) = 6 + 6(-4 + a) 4 + -5a = 6 + (-4 * 6 + a * 6) 4 + -5a = 6 + (-24 + 6a) Combine like terms: 6 + -24 = -18 4 + -5a = -18 + 6a Solving 4 + -5a = -18 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 4 + -5a + -6a = -18 + 6a + -6a Combine like terms: -5a + -6a = -11a 4 + -11a = -18 + 6a + -6a Combine like terms: 6a + -6a = 0 4 + -11a = -18 + 0 4 + -11a = -18 Add '-4' to each side of the equation. 4 + -4 + -11a = -18 + -4 Combine like terms: 4 + -4 = 0 0 + -11a = -18 + -4 -11a = -18 + -4 Combine like terms: -18 + -4 = -22 -11a = -22 Divide each side by '-11'. a = 2 Simplifying a = 2
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